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 Circular map (Posted on 2006-11-15)
Let f be a one-to-one correspondence of the points in a plane. Prove or disprove the following statement:

"If f maps circles to circles, then it maps straight lines to straight lines."

 See The Solution Submitted by JLo No Rating

 Subject Author Date Line-ear maps JLo 2006-12-21 13:36:50 re(8): Full Proof JLo 2006-12-20 14:30:50 re(7): Full Proof Tristan 2006-12-19 20:18:21 re(7): Full Proof Bractals 2006-12-19 00:49:38 re(6): Full Proof Joel 2006-12-18 22:44:05 re(5): Full Proof Bractals 2006-12-18 12:53:22 re(4): Full Proof Joel 2006-12-18 00:21:46 re(3): Full Proof Bractals 2006-12-17 15:35:08 re(2): Full Proof Tristan 2006-12-17 00:20:28 re: Full Proof Bractals 2006-12-15 18:15:42 Full Proof Tristan 2006-12-15 14:56:08 Family of Circles Bractals 2006-11-24 10:53:29 re(4): Not a proof, but ... Steve Herman 2006-11-24 09:08:14 re(3): Not a proof, but ... Tristan 2006-11-24 02:07:22 re(3): Sticking by my guns Joel 2006-11-24 01:30:34 re(2): Not a proof, but ... Steve Herman 2006-11-23 09:02:55 re: Not a proof, but ... Tristan 2006-11-18 14:49:20 Not a proof, but ... Steve Herman 2006-11-18 08:54:41 re(2): Proof Tristan 2006-11-17 15:34:33 re: Proof JLo 2006-11-17 12:52:15 re: Question for JLo JLo 2006-11-17 12:46:52 Proof Tristan 2006-11-16 20:44:19 Question for JLo Bractals 2006-11-16 17:37:48 re(2): Sticking by my guns henry 2006-11-16 16:39:41 re: Sticking by my guns JLo 2006-11-16 12:35:32 re: A thought Charlie 2006-11-16 10:42:11 A thought Bernie Hunt 2006-11-16 10:13:08 A thought Bractals 2006-11-15 18:48:19 Sticking by my guns Federico Kereki 2006-11-15 18:02:49

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